Representation of the Yangian invariant motif and the Macdonald polynomial

DOI10.1088/0305-4470/30/7/023zbMath0942.82003OpenAlexW2087242864MaRDI QIDQ4248513

Kazuhiro Hikami

Publication date: 22 August 2000

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/30/7/023

zbMATH Keywords

partition functionenergy spectrumdeformationspin chainMacdonald polynomialRogers-Szegő polynomialone-row Young diagramPolychronakos-Frahm modelYangian invariant motif

Mathematics Subject Classification ID

Quantum groups and related algebraic methods applied to problems in quantum theory (81R50) Connections of hypergeometric functions with groups and algebras, and related topics (33C80) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

Related Items (7)

Topics in quantum integrable systems ⋮ Super Rogers-Szegö polynomials associated with \(BC_{N}\) type of Polychronakos spin chains ⋮ The number of flags in finite vector spaces: asymptotic normality and Mahonian statistics ⋮ A product formula for multivariate Rogers-Szegő polynomials ⋮ Supersymmetric Polychronakos spin chain: motif, distribution function, and character ⋮ Asymptotics of generalized Galois numbers via affine Kac-Moody algebras ⋮ ON THE LAW OF LARGE NUMBERS FOR DEMAZURE MODULES OF $\widehat{\mathfrak{sl}}_2$

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